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Finding the Fourth Proportional to 929.76, 1,283.10 and 510.14

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Solution

The fourth proportional to 929.76, 1,283.10 and 510.14 is: 704.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.76 : 1,283.10 = 510.14 : x
  2. Step 2: Convert to fraction form
    929.76/1,283.10 = 510.14/x
  3. Step 3: Cross multiply
    929.76x = 1,283.10 × 510.14
  4. Step 4: Simplify right side
    929.76x = 654,560.63
  5. Step 5: Solve for x
    x = 654,560.63/929.76
  6. Step 6: Final answer
    x = 704.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.